4. Perform by-hand five iterations of the golden-section optimization method to find the minimum of f(x) = sin(10x) + co
Posted: Sun Jul 03, 2022 12:02 pm
4. Perform by-hand five iterations of the golden-section optimization method to find the minimum of f(x) = sin(10x) + cos(3x) within the interval [0.4 0.7]. Maintain an accuracy of 4 decimal places for all your answers. Generate a table similar to the one in Lecture 13. Verify your answer using function optm_golden. 5. Repeat Problem 4 employing two iterations of the parabolic interpolation optimization method. Choose the initial set of three interpolation points: x1=0.4, x2=0.6 and x3=0.7. Plot the interpolating parabola (after the first iteration) along with f(x), on the same graph, over x-axis range [0.3 0.8]. You may use the interp2_mh script.